17) Write a pair of fraction whose sum is 7/11 and difference is 1/11. 9/11 and 2/11 4/11 and 3/11 5/11 and 4/11 none of the above 1 point
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Subject:
Math -
Author:
cherokeechapman -
Created:
1 year ago
Answers 1
Answer:
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. Write a pair of fractions whose sum is 7/11 and difference is 2/11·
Question
Question 127.
Write a pair of fractions whose sum is
7
11
and difference is
2
11
⋅
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Solution
Let a and b be the pair of fractions whose sum is
7
11
and difference is
2
11
, then
a + b =
7
11
⋯
(
i
)
and a - b =
2
11
⋯
(
i
i
)
On adding Eqs. (i) and (ii), we get
(a + b) + (a - b) =
7
11
+
2
11
⇒
a
+
b
+
a
−
b
=
7
+
2
11
⇒
2a =
9
11
⇒
a
=
9
11
×
2
=
9
22
On substituting the value of a in Eq. (i), we get
9
22
+
b
=
7
11
⇒
b
=
7
11
−
9
22
⇒
b =
7
×
2
11
×
2
−
9
22
⎡
⎢
⎣
∵
LCM of 11 and 22 is 22, so we convert
each of the given fraction to an equivalent
fraction with denominator 22.
⎤
⎥
⎦
⇒
b =
14
22
−
9
22
⇒
b =
14
−
9
22
=
5
22
So,
9
22
and
5
22
is a pair of fractions, whose sum is
7
11
and difference is
2
11
.
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sandycherry
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